In view of the key factor in regional hydrological processes and water resource management, the temporal patterns of precipitation anomalies and oscillations were detected by the Quantile Perturbation Method (QPM) and the Singular Spectrum Analysis (SSA) Method, and the spatial patterns were identified using the Principal Component Analysis (PCA) Method. In addition, the teleconnections and lagged influence with large-scale climate oscillations in the Yangtze River Delta (YRD) of China from 1957 to 2016 were also analyzed. Results showed that, temporally, the main oscillations of precipitation were all found to be 2, 7–11 and 3–4 years in the annual and seasonal scales. Precipitation quantiles are subject to strong temporal oscillations at (multi-)decadal time scales, with high and low anomalies at specific periods. Spatially, the whole region could be divided into two main sub-regions in annual and seasonal scales, respectively. Among the selected large-scale climate oscillations in this study, the Pacific Decadal Oscillation (PDO) has a stronger influence on precipitation in March, July and September, but significant correlations were detected in more than 18% of the total stations. These stations were mainly in the southeast regions. The North Pacific index (NP) controlled the precipitation in February (13.95% of the total stations) and October (37.21% of the total stations) in the north region. Generally, the indicators of the Southern Oscillation Index (SOI) and Oceanic Niño 4 SST Index (ONI) had the strongest influence in regional precipitation variations, but significant correlations were detected in more than 20% of the total stations in March, September, October and November. Also, large-scale climate oscillations have a delayed way on precipitation. Among the oscillations, the Arctic Oscillation (AO) and North Atlantic Oscillation (NAO) showed that significant cross-correlations on precipitation were 0 and 3–5 months, respectively. NP showed significant cross-correlations with precipitation in many stations when the lag time was 0–3 months. Generally, the PDO, SOI and ONI have a greater influence in the south region, mainly with the lag time of 0–3, 2–3 and 1–5 months, respectively. The results will provide a basis for taking relevant measures to deal with problems of meteorological disaster and water supplement under climate change.

  • Two dominant geographic sub-regions of precipitation in annual and seasonal scales were detected in the Yangtze River Delta, China.

  • Precipitation had strong temporal oscillations at (multi-)decadal time scales.

  • Climate oscillations showed different correlations with precipitation in temporal and spatial scales.

Graphical Abstract

Graphical Abstract
Graphical Abstract

It is widely accepted that the climate is undergoing an intensive change worldwide, which has an important influence on the regional environment and humans (Wang et al. 2016). Among the climate variables, precipitation influences regional water resources, hydrological processes, ecology, agricultural production and living conditions directly. According to IPCC (2021), many regions do face not only a tendency toward drier conditions but also an increase in extreme precipitation intensities. In addition to these trends, meteorological conditions may show significant temporal variations over decadal or multi-decadal time scales. Therefore, a good understanding of these trends and variations is of importance to better support water resource management and engineering decision-making (Willems 2000; Huang et al. 2009; Martinez et al. 2012; Nalley et al. 2012; Duhan & Pandey 2013; Gocic & Trajkovic 2013; Ren et al. 2015; Thomas & Prasannakumar 2016; Wang et al. 2017).

As one of the most common meteorological elements, the characteristics of precipitation have been extensively studied. With the acceleration of the water cycle under the background of greenhouse warming, spatio-temporal patterns of precipitation tend to change in many parts of the world. Previous studies mainly used trend analysis methods, such as the Mann–Kendall test, Spearman's rho test and the Theil–Sen approach, and oscillation test methods, such as Morlet wavelet analysis, to detect the temporal variation of meteorological variabilities (Serrano et al. 1999; Tank & Können 2003; Sayemuzzaman & Jha 2014; Chen et al. 2015; Jones et al. 2015; Song et al. 2015; Yang et al. 2017). However, most of these analyses revealed the variation in the whole period, resulting in the lack of phase variation analysis. The application of these methods is also always restricted by some assumptions such as serial independence of time series (Yue et al. 2002; Wang et al. 2020). For example, the Mann–Kendall test, which can reflect the changing trend based on the ranks of measurements, was the most popular, because the sequences to be examined need not be subject to the characteristics of the same probability distribution (Kendall 1975). But its precondition (the data sequence was not autocorrelated) was always ignored (Tabari et al. 2014). Hydro-meteorological variables are always autocorrelated and magnify the significance of the trend. In addition, when discussing spatial patterns of precipitation change, administrative or watershed boundaries are often used. This means the spatial patterns presented by precipitation itself are ignored.

Hence, it is better to adopt a rather novel approach named the Quantile Perturbation Method (QPM) to avoid the above-mentioned assumptions in analyzing the change trend and mode of the precipitation. Analogous to the frequency–perturbation method, the QPM derives the research period into several baseline and corresponding activity periods with a sliding window. It needs fewer stringent assumptions for meaningful inferences from trend results of hydrological time series, compared with most of the commonly used non-parametric tests such as Mann–Kendall and Spearman (Yue & Wang 2004; Tabari et al. 2017; Xu et al. 2017). The method can not only analyze the return cycle of factors but also reveal the temporal variation of quantiles of hydro-meteorological variables in different periods (Ntegeka & Willems 2008; Willems 2013). At present, this method has been widely used in the research of long-term variation of hydro-meteorological factors in the world (Onyutha & Willems 2015, 2017; Xu et al. 2020). Meanwhile, as is a useful technique for analyzing series with complex periodical components, the Singular Spectrum Analysis (SSA) Method, a non-parametric technique of the time-series analysis method based on the principles of multivariate statistics, decomposes a given time series into a set of independent additive time series, so that each component in this set can be identified as either a trend, quasi-periodic component or noise (Zhang et al. 2017; Rubinetti et al. 2020). Until now, this method has been applied to analyze the temporal oscillations of hydro-meteorological variables (Marques et al. 2006; Hassani et al. 2010; Zhang et al. 2017). To reveal the regionalization of variables, the Principal Component Analysis (PCA) Method, which aims at extracting the coherent variations of dominant variables, is always applied (Huang et al. 2009; Wang et al. 2016).

Next to this, searching for the driver(s) of the variability in the precipitation anomalies is another important task as strong links have been identified between the teleconnection and lag relationship patterns and climate variability. It is well documented that precipitation variations were influenced by large-scale climate oscillations, such as El Niño-Southern Oscillation (ENSO), North Pacific index (NP) and Pacific Decadal Oscillation (PDO), and raised serious concerns (Mei et al. 2021). ENSO is a well-known climate oscillation to cause global climate variability by the cycle of warm and cold sea surface temperatures in the equatorial Pacific arising from complex interactions between the atmosphere and ocean, and has been commonly recognized to be closely related to the precipitation as well as the occurrences of drought and flood (Wang et al. 2021). The ENSO has a periodic behavior with bands of 2–3 and 4–7 years (Lall & Mann 1995). The link between precipitation anomalies and ENSO is statistically significant in parts of East Asia (Xu et al. 2004). The heavier precipitation in the northeastern Yangtze River Delta (YRD) of China is beneficial for obtaining persistent conditions by the plum rain belt during the El Niño warm periods (Ye et al. 2013). Extreme precipitation statistics were dominated by the ENSO in over 22% of the global land area (Cao et al. 2017; Sun et al. 2017). Researchers also concluded that the Arctic Oscillation (AO) has significant correlations with the precipitation during the winter and spring in large parts of central China (Gong & Wang 2003; Li & Leung 2013; He et al. 2017). The North Atlantic Oscillation (NAO) has had significant correlations between winter NAO and summer precipitation in north China in the last decades (Fu & Zeng 2005; Sung et al. 2006). Although the contemporaneous relation between precipitation and atmospheric oscillation patterns was revealed, the long memory of atmospheric anomalies also has a delayed influence on precipitation. The links offer considerable benefits for a good monthly and seasonal predictability of the relevant hazards for a few months ahead and need to be further estimated.

The YRD, located in East China, is the transitional zone between subtropical and temperate monsoon climate. The region is prone to drought and flood disasters, which hinder social progress and development. To address the aforementioned issues, the present study (a) emphasized the phase variation of precipitation anomalies and oscillation periods by the application of the QPM and SSA methods, (b) analyzed the spatial patterns of precipitation anomalies by the QPM and PCA methods, and (c) revealed the teleconnection and lag time between precipitation and the main large-scale climate oscillations, such as the AO, NAO, PDO, NP, Southern Oscillation Index (SOI), and ONI (Oceanic Niño 4 SST Index). This study will help to better understand the spatial and temporal patterns of precipitation anomalies in the YRD, as well as the teleconnections and the lag time between climate oscillations and precipitation. The results are anticipated to serve as a guideline for regional climate tendency and water resource assessment, and help production to adapt to climate change associated with large-scale climatic patterns.

Research region

The YRD, which has an area of about 344,300 km2, is located in eastern China and encompasses three provinces (Anhui, Jiangsu and Zhejiang) and a municipality (Shanghai) (Figure 1). It stretches over 7.5° of latitude and 7.9° of longitude in north–south and west–east directions (27.4 °N–34.9 °N, 114.9 °E–122.8 °E), respectively. From the north to the south, the geomorphic types belong to the North China Plain, the Yangtze River Plain, China Jiangnan Hills and China Southeast Hills (Xu et al. 2017). The terrain is higher in the south and southwest regions and lower in the middle, north and east regions. Plains and mountains cover about two thirds and one third of the land surface, respectively. The research region belongs to the East Asian monsoon climate. The monsoon cloud from the Indian and Pacific Oceans mainly brings precipitation to this region (Pu 2014). About 11.6% of the research region received more than 1,500 mm average annual precipitation (Table 1), whereas about 18.6% of the stations received less than 1,000 mm precipitation per year from 1960 to 2016. The wet and dry areas are distributed in the south and north regions, respectively. Moreover, the precipitation was concentrated in the flood season (May–October).
Table 1

Average annual and seasonal precipitation in the meteorological stations of the YRD

No.StationPrecipitation (mm)
No.StationPrecipitation (mm)
AnnualFlood seasonNon-flood seasonAnnualFlood seasonNon-flood season
Dangshan 756.2 609.1 147.1 23 Dongtai 1,073.8 787.1 286.7 
Bozhou 800.0 634.3 165.7 24 Nantong 1,105.0 772.3 332.7 
Suzhou 856.8 668.1 188.7 25 Lvsi 1,081.1 757.6 323.5 
Fuyang 895.3 666.9 228.4 26 Changzhou 1,124.9 767.8 357.1 
Shouxian 906.1 659.6 246.5 27 Liyang 1,163.0 759.1 403.9 
Bengbu 925.6 689.7 235.9 28 Dongshan 1,153.5 741.4 412.1 
Chuzhou 1,061.2 744.6 316.6 29 Hangzhou 1,419.3 888.9 530.4 
Lu'an 1,114.3 749.8 364.5 30 Pinghu 1,232.5 781.4 451.1 
Huoshan 1,365.9 926.2 439.7 31 Cixi 1,328.3 837.3 491.0 
10 Hefei 1,006.1 665.7 340.4 32 Shengsi 1,061.2 634.5 426.7 
11 Chaohu 1,077.2 710.6 366.6 33 Dinghai 1,379.5 870.0 509.5 
12 Anqing 1,413.2 909.6 503.6 34 Jinhua 1,447.9 852.2 595.7 
13 Ningguo 1,441.6 922.4 519.2 35 Shengzhou 1,315.3 830.8 484.5 
14 Huangshan 2,361.5 1,598.9 762.6 36 Yinxian 1,435.5 936.6 498.9 
15 Tunxi 1,714.4 1,033.7 680.7 37 Shipu 1,422.7 897.9 524.8 
16 Xuzhou 836.9 676.3 160.6 38 Quzhou 1,677.3 961.0 716.3 
17 Ganyu 929.9 767.0 162.9 39 Lishui 1,420.6 886.8 533.8 
18 Xuyi 1,025.4 767.6 257.8 40 Longquan 1,629.4 983.0 646.4 
19 Huai'an 1,037.7 795.2 242.5 41 Hongjia 1,535.6 1,030.0 505.6 
20 Sheyang 1,001.5 773.0 228.5 42 Dachen 1,364.0 824.3 539.7 
21 Nanjing 1,078.9 746.4 332.5 43 Yuhuan 1,363.7 861.6 502.1 
22 Gaoyou 1,073.2 766.7 306.5      
No.StationPrecipitation (mm)
No.StationPrecipitation (mm)
AnnualFlood seasonNon-flood seasonAnnualFlood seasonNon-flood season
Dangshan 756.2 609.1 147.1 23 Dongtai 1,073.8 787.1 286.7 
Bozhou 800.0 634.3 165.7 24 Nantong 1,105.0 772.3 332.7 
Suzhou 856.8 668.1 188.7 25 Lvsi 1,081.1 757.6 323.5 
Fuyang 895.3 666.9 228.4 26 Changzhou 1,124.9 767.8 357.1 
Shouxian 906.1 659.6 246.5 27 Liyang 1,163.0 759.1 403.9 
Bengbu 925.6 689.7 235.9 28 Dongshan 1,153.5 741.4 412.1 
Chuzhou 1,061.2 744.6 316.6 29 Hangzhou 1,419.3 888.9 530.4 
Lu'an 1,114.3 749.8 364.5 30 Pinghu 1,232.5 781.4 451.1 
Huoshan 1,365.9 926.2 439.7 31 Cixi 1,328.3 837.3 491.0 
10 Hefei 1,006.1 665.7 340.4 32 Shengsi 1,061.2 634.5 426.7 
11 Chaohu 1,077.2 710.6 366.6 33 Dinghai 1,379.5 870.0 509.5 
12 Anqing 1,413.2 909.6 503.6 34 Jinhua 1,447.9 852.2 595.7 
13 Ningguo 1,441.6 922.4 519.2 35 Shengzhou 1,315.3 830.8 484.5 
14 Huangshan 2,361.5 1,598.9 762.6 36 Yinxian 1,435.5 936.6 498.9 
15 Tunxi 1,714.4 1,033.7 680.7 37 Shipu 1,422.7 897.9 524.8 
16 Xuzhou 836.9 676.3 160.6 38 Quzhou 1,677.3 961.0 716.3 
17 Ganyu 929.9 767.0 162.9 39 Lishui 1,420.6 886.8 533.8 
18 Xuyi 1,025.4 767.6 257.8 40 Longquan 1,629.4 983.0 646.4 
19 Huai'an 1,037.7 795.2 242.5 41 Hongjia 1,535.6 1,030.0 505.6 
20 Sheyang 1,001.5 773.0 228.5 42 Dachen 1,364.0 824.3 539.7 
21 Nanjing 1,078.9 746.4 332.5 43 Yuhuan 1,363.7 861.6 502.1 
22 Gaoyou 1,073.2 766.7 306.5      
Figure 1

Location of the YRD study region.

Figure 1

Location of the YRD study region.

Close modal

Meanwhile, the YRD is one of the most important commodity grain production areas of China. The underlying surface covers a large portion of the cultivated land and requires a large amount of irrigation water. Apart from the status of an important agricultural base, the YRD is also one of the most developed areas in China. The three provinces and a municipality have a population of 227.14 million in 2021. The total 67.23% population urbanization rate supports a massive urban system of 152.69 billion populations. The massive urban system needs a lot of water for domestic and industrial use and inevitably causes water pollution. The industrial and agricultural production in the research region requires a large amount of water, but the variation of spatio-temporal distribution of precipitation poses a major threat.

Data required

Daily precipitation data were obtained from the National Meteorological Center of China (http://data.cma.gov.cn) from 1957 to 2016 in 43 stations (Figure 1 and Table 1). The quality of the data was checked and the missing data counted for less than 0.3%, and those data were interpolated through a simple linear regression model for daily precipitation with neighboring stations. To detect the possible influence of the multiple large-scale climate oscillations on the regional precipitation, monthly data of the climatic oscillations, such as AO, NAO, PDO, NP, SOI and ONI, were collected from the datasets (apdrc.soest.hawaii.edu/projects/monsoon and www.esrl.noaa.gov).

Quantile Perturbation Method

To detect the temporal variation patterns of precipitation, a rather novel approach called QPM was applied in this article (Ntegeka & Willems 2008; Willems 2013). The method compares the long-term baseline period value quantiles with those of a selected sub-period. The latter is taken for any particular block (subseries) of interest. This method was taken to detect anomalies of annual and seasonal total precipitation in 1957–2016 in the YRD.

Anomaly values, called perturbation factors, are calculated by following steps. In the first step, subseries of annual and seasonal total precipitation are derived from the full-time series. The length of the block period was selected according to the baseline period of 1957–2016. In general, a shorter length of the block period can reflect the disturbance intensity of precipitation, while a longer length can reflect the change trend. For this study, block periods of 5, 10 and 15 years with a sliding window of 1 year were tried to find the best one. For example, when the block period of 5 years with a sliding window of 1 year was selected, the following subseries are considered: 1957–1961, 1958–1962 and 1959–1963. In the second step, the time-series values are put in a descending order for each block period, such that they can be related to empirical return periods BL/i, where BL is the length of block series and i the rank number (i=1 for the highest value). After ranking, the values correspond with quantiles x(BL), x(BL/2),… , x(BL/i), …, where x(BL/i) is the quantile with the empirical return period BL/i. In the third step, perform steps 2 and 3 for the baseline period. In the next step, the quantiles of the block periods and baseline periods with a similar return period are compared. In the final step, the perturbation factor on the quantiles is calculated as a change ratio of the block period data and those of the baseline period.

To test the statistical significance of the anomaly values (perturbation factors), the values in the full-time series at each site were randomly resampled to make a new series with a different sequence, and the anomalies are recalculated for the resampled series based on the QPM. The anomaly calculations were repeated 1,000 times, leading to 1,000 anomaly values for each block period. After ranking the 1,000 anomaly factors, the 25th and 975th values were defined as the 95% confidence intervals for each block period. When the perturbation results were located outside the interval, this denotes the significant negative and positive anomalies.

For this method, it is very important to choose a suitable block period. Thus, the perturbation results with several different block periods should be compared. Figure 2 shows the results of the QPM applied to the annual precipitation using time slices of 5, 10 and 15 years. Through the analysis of the three curves, the perturbations of the annual precipitation with 15-year blocks do not reach the 95% confidence level. Meanwhile, the perturbations with 10-year blocks reach the significant negative and positive anomaly confidence level in the late 1960s and the early 2010s, respectively. A preliminary analysis indicated that a block length of 5 years provides a better illustration of anomaly patterns (high and low) in precipitation in comparison to longer block lengths. The significant anomalies can be found in the late 1960s, the late 1970s, the early 1990s and the early 2010s. In this article, we aimed at revealing the precipitation anomalies; hence, a 5-year block period length was chosen to detect the annual and seasonal precipitation anomalies in the research region.
Figure 2

Results of the QPM applied to the annual precipitation using time slices of 5, 10 and 15 years.

Figure 2

Results of the QPM applied to the annual precipitation using time slices of 5, 10 and 15 years.

Close modal

Singular Spectrum Analysis

SSA was applied to further study the temporal anomalies detected by the QPM. It is a non-parametric technique of time-series analysis based on the principles of multivariate statistics and spectral analysis of time series of hydro-meteorological variables (Marques et al. 2006; Hassani et al. 2010; Rubinetti et al. 2020). We used it to decompose the precipitation time series into several independent time series. First, the one-dimensional time series is converted into a trajectory matrix with the help of an embedding procedure. This procedure transfers a time series to a sequence of multidimensional lagged vectors. Consider the time series , i=1, 2, …, N and select a window length L, 1<L<N. If this length is too small, closely spaced frequencies are unlikely to be resolved. If it is too large, the statistical significance of the estimated periodicities is compromised. Generally, the window length should be smaller than N/2. In this article, the window length was defined as 180 days, with consideration of annual, flood seasonal and non-flood seasonal scales. Let , one defines L-lagged vectors , j=1, 2, …, K, with which one constructs the trajectory matrix :
(1)
Second, Singular Value Decomposition of this matrix is conducted. This involves the calculation of the eigenvalues and eigenvectors of the matrix of dimension L×L. Let λ1, λ2,…, λd be the non-zero eigenvalues of S (d=L if no eigenvalue is zero) arranged in a descending order, and U1, U2,…, Ud be the corresponding eigenvectors. Then the vectors (i=1, 2,…, d) are constructed. Singular Value Decomposition of the trajectory matrix leads to the decomposition of this matrix into a sum of matrices.
(2)
where (i=1, 2, …, d) are called the time Principal Components (SSAPCs). These are the mutually orthogonal, unit-rank, elementary matrices.
Next step is the eigentriple grouping and the final step is the reconstruction of the original series by selected eigentriple groups. This involves splitting of the elementary matrices Ei into several groups and summing the matrices within each group. Let ; then the matrix XI corresponding to the group I is defined as:
(3)
The set of indices J=1,… , d is split into several subsets I1,… ,Im and the corresponding decompositions are represented as:
(4)
In the last step, each elementary matrix of the grouped decomposition is transformed into a new time series by applying a linear transformation known as diagonal averaging. The diagonal averaging algorithm transforms Y into the reconstructed time series by:
(5)
where , f. By applying the Hankelization procedure to all matrix components, N-length time series Rk are obtained. These Rk (k = 1, 2, …, m) are called time Reconstruction Components (RCs). Thus, the initial series is decomposed into the sum of m series:
(6)

Principal Component Analysis

The change patterns of the annual and seasonal precipitation were different in sub-regions due to the impact of influential factors, such as location and topography. In this article, the PCA method was applied to detect the change patterns of the precipitation, combined with the QPM. Through the combination of methods, the main principal components of the annual and seasonal precipitation anomaly modes can be generated. PCA is a method that reduces the dimensionality of a dataset, by finding a new set of variables, smaller than the original set of variables. It was used to capture the spatial patterns of co-variability of precipitation anomalies at different stations. The original variables at different meteorological stations were (Xi,1, Xi,2, …, Xi,k), where k is the number of the meteorological stations (43 in this article), and i is the length of precipitation anomalies series (60 in this article) at each stations. The principal components were produced for the same time period using linear combinations.
(7)
where the Y values are new orthogonal and linearly uncorrelated variables that explain most of the total variance. The coefficients of the linear combinations are called ‘loadings’ and represent the correlation between the original data and the corresponding principal component scores (PCAPC) time series. A rotation of the principal components was applied using the varimax procedure to find more stable spatial patterns (Huang et al. 2017). This procedure provides a clearer division between components, preserves their orthogonality and produces more physically explainable patterns. Also, the rotation simplifies the spatial structure by isolating regions with similar temporal variations, with the varimax procedure being the most common orthogonal method to improve the creation of regions of maximum correlation between the variables and the components. The patterns defined in this way are referred to as rotated principal components. The procedure simplifies the spatial patterns by isolating regions with similar temporal variations and has been proven to be the most useful orthogonal method to improve the creation of regions of maximum correlation between the variables and the components.

Temporal patterns of precipitation

Temporal trends of regional precipitation

In the past 60 years, regional annual precipitation, calculated from the arithmetic average of precipitation at all stations, showed a significant increasing trend, but the lowest and highest regional annual precipitation sums were 785 mm in 1978 and 1,614 mm in 2016, respectively (Figure 3). Seasonally, the precipitation in the flood and non-flood seasons increased at a rate of 14.8 and 8.7 mm decade−1, respectively. The flood season total precipitation accounts for 53.9% (1967) to 77.3% of the annual total precipitation (2011).
Figure 3

Linear temporal trends of precipitation at the annual and seasonal scales.

Figure 3

Linear temporal trends of precipitation at the annual and seasonal scales.

Close modal
In the past to detect the periodic patterns and changes at each sub-period, the QPM was adopted to detect the temporal anomalies of precipitation quantiles at the annual scale and in the flood and non-flood seasons (Figure 4). In the mid-1960s and the beginning of the 1980s, the anomaly factors showed significant negative anomalies in annual and flood seasonal precipitation in this period. The magnitude of the negative precipitation anomaly in the non-flood season was 5.70 and 4.16% significant in the mid-1960s and the late 1970s, respectively (Figure 4(c)). This indicates that there were significant anomalies at the annual scale and the flood season, but insignificant anomalies for the non-flood season. For the 1980s up to the 2000s, the anomalies are within the 95% confidence interval limits except in the non-flood season. At the beginning of the 1990s, the largest quantiles were 25.30% higher than those based on the full-time series. Furthermore, significant positive anomalies were observed in the 2010s at the annual time scale and in the flood season, with anomalies higher than 20%. The YRD has, indeed, experienced several severe floods around 1991, 1999 and 2015 (Liu et al. 2008; Wu & Xu 2020). Also, there are high anomalies of annual precipitation exhibited around 1961, 1975, 1982, 1991 and 1998, and low anomalies around 1966, 1980, 1986, 1995 and 2006.
Figure 4

Precipitation anomalies in the annual scale (a), flood season (b) and non-flood (c) seasons.

Figure 4

Precipitation anomalies in the annual scale (a), flood season (b) and non-flood (c) seasons.

Close modal

Temporal oscillations of precipitation

Further analysis of the regional total precipitation by means of SSA (Table 2) shows that the 10 leading SSAPCs reflect the temporal variations of precipitation well at the annual scale and in the flood and non-flood seasons; the total variance explained by these SSAPCs reaches a value of approximately 70%.

Table 2

The eigenvalues and explained variances of the first 10 SSAPCs

No.Annual precipitation
Flood season precipitation
Non-flood season precipitation
EigenvaluesVariance (%)Total variance (%)EigenvaluesVariance (%)Total variance (%)EigenvaluesVariance (%)Total variance (%)
2.29 11.91 11.91 2.23 11.94 11.94 1.63 8.97 8.97 
1.78 9.28 21.19 2.19 11.71 23.65 1.57 8.67 17.64 
1.71 8.92 30.11 2.00 10.69 34.34 1.49 8.21 25.85 
1.36 7.09 37.20 1.47 7.88 42.22 1.40 7.70 33.55 
1.32 6.86 44.06 1.44 7.69 49.91 1.29 7.08 40.63 
1.26 6.58 50.64 1.13 6.04 55.95 1.26 6.91 47.54 
1.14 5.92 56.56 0.94 5.01 60.96 1.13 6.20 53.74 
1.12 5.85 62.41 0.87 4.66 65.62 1.06 5.86 59.60 
1.07 5.6 68.01 0.81 4.34 69.96 0.97 5.36 64.96 
10 1.07 5.55 73.56 0.80 4.26 74.22 0.85 4.66 69.62 
No.Annual precipitation
Flood season precipitation
Non-flood season precipitation
EigenvaluesVariance (%)Total variance (%)EigenvaluesVariance (%)Total variance (%)EigenvaluesVariance (%)Total variance (%)
2.29 11.91 11.91 2.23 11.94 11.94 1.63 8.97 8.97 
1.78 9.28 21.19 2.19 11.71 23.65 1.57 8.67 17.64 
1.71 8.92 30.11 2.00 10.69 34.34 1.49 8.21 25.85 
1.36 7.09 37.20 1.47 7.88 42.22 1.40 7.70 33.55 
1.32 6.86 44.06 1.44 7.69 49.91 1.29 7.08 40.63 
1.26 6.58 50.64 1.13 6.04 55.95 1.26 6.91 47.54 
1.14 5.92 56.56 0.94 5.01 60.96 1.13 6.20 53.74 
1.12 5.85 62.41 0.87 4.66 65.62 1.06 5.86 59.60 
1.07 5.6 68.01 0.81 4.34 69.96 0.97 5.36 64.96 
10 1.07 5.55 73.56 0.80 4.26 74.22 0.85 4.66 69.62 

At the annual time scale, the first, fourth, fifth and sixth SSAPCs show oscillatory behavior corresponding to an approximate period of 2 years, whereas it is 8–10 years for the second and third SSAPCs, and 3–4 years for the other SSAPCs (Figure 5(a), 5(c) and 5(e)). These three classes of SSAPCs explain 32.44, 18.20 and 22.92% of the total variance, respectively. In order to show the temporal patterns of strength for each class of oscillation periods, we add the corresponding RCs and also show the sum of the corresponding RCs (SRCs) in Figure 5. Through the SRCs, we obtain information on the strength of each oscillation (Figure 5(b), 5(d) and 5(f)). The strength of the 8- to 10-year oscillations was decreased gradually over time. The strength of the 3- to 4-year periods does not show obvious temporal changes. The long oscillation periods that strongly contribute to the total precipitation variations match with the QPM results shown in Figure 5. The main oscillation bands coincided with relative results (Jiang et al. 2006; Hu et al. 2016).
Figure 5

Time series of the first several SSAPC (left) and their corresponding SRC (right) of SSA.

Figure 5

Time series of the first several SSAPC (left) and their corresponding SRC (right) of SSA.

Close modal

Similar to the annual precipitation, the main oscillations of precipitation in the flood season are 2 years (for SSAPC-3, SSAPC-4 and SSAPC-5), 7–11 years (for SSAPC-1 and SSAPC-2), and 3–4 years (for SSAPC-6) (Figure 5(g), 5(i) and 5(k)), explaining 26.26, 35.59 and 6.04% of the total variance. Among these oscillations, the 2 and 7–11 years periods concentrate from the late 1970s to the beginning of the 1990s and from the 1950s to the 1980s, respectively. In the non-flood season, the oscillation period of 2 years is reflected by PSSACs-1, SSAPC-2 and SSAPC-5 and intensified in the 2010s (Figure 5(m), 5(o) and 5(p)). The 7–8 years one, which is reflected by SSAPC-3 and SSAPC-4, decreased gradually. The 3–4 year periods (for SSAPC-6, SSAPC-7 and SSAPC-8) do not show obvious temporal changes.

Spatial patterns of precipitation

Spatial trends of precipitation

Though the annual and seasonal precipitation showed an insignificant trend in most of the stations, attention should be paid to the fluctuation processes of precipitation. Thus, the precipitation anomalies in all the meteorological stations were also detected by the QPM (Table 3). On the annual scale, significant negative anomalies were found in 23, 13 and 12 stations (53.49, 30.23 and 27.91% of the total) around the years 1968, 1978 and 2005, respectively. On the other hand, significant positive anomalies were found in 7, 6, 10 and 18 stations (16.28, 13.95, 23.26 and 41.86% of the total) around the years 1976, 1991, 1998–2002 and 2014, respectively. In the YRD, large-scale extremely dry events mainly happened in the late 1960s, the late 1970s and the 2000s assessed by the SPI method (Wu & Xu 2020). Meanwhile, several similar periods with significant positive/negative anomalies were also detected in flood and non-flood seasons. Thus, we can conclude that the similar significant negative and positive precipitation anomalies emerged in some stations at the same year.

Table 3

Periods with significant positive and negative anomalies of the precipitation in the YRD

No.StationAnnual scale
Flood season
Non-flood season
PositiveNegativePositiveNegativePositiveNegative
Dangshan 2000s – 2000s 1960s, 1990s 1990s 1980s 
Bozhou – – 2000s – 1990s 1980s 
Suzhou 1960s, 2000s 1960s 1970s 2000s 1970s 1980s 
Fuyang – 1970s – 1970s 1990s 1980s 
Shouxian – 1970s 1980s – 1990s 1980s 
Bengbu 2000s – 2000s – 1990s 1980s 
Chuzhou – – – 1960s 1990s – 
Lu'an – 1960s, 1990s 1980s 1960s, 1990s 1990s – 
Huoshan – 1960s 1980s 1960s 1990s – 
10 Hefei – 1960s – 1960s, 1990s – 1980s 
11 Chaohu – 1960s 1980s 1960s 1990s, 2000s – 
12 Anqing – 1960s 1980s, 2010s 1960s 1990s 1980s 
13 Ningguo 1980s 2000s 1980s 2000s 1990s – 
14 Huangshan 1970s, 2010s 1980s, 2000s 1970s, 1990s, 2010s 1960s, 2000s 1970s, 2010s 1980s 
15 Tunxi 1990s, 2010s 1960s 1980s 1970s, 1990s 2010s – 
16 Xuzhou 2000s 1980s, 2010s 1980s, 2000s 1980s, 2010s 1970s 1980s 
17 Ganyu 1970s 1970s 1970s 1970s – 1980s 
18 Xuyi – – – – 1990s 1970s, 1980s 
19 Huai'an 1960s – 1960s – 1990s 1970s 
20 Sheyang 1972s 1970s 1970s, 1980s 1970s, 1990s 1970s, 1990s 1980s 
21 Nanjing – – – 1960s 1990s – 
22 Gaoyou – – 1970s 1960s 1990s – 
23 Dongtai 1980s, 1990s 1970s – 1970s 1990s – 
24 Nantong 2010s 1970s, 1980s – 1960s 1990s 1980s 
25 Lvsi – – – 1960s, 1990s – – 
26 Changzhou 2010s 1970s, 1980s 2010s 1980s 1990s – 
27 Liyang 1990s, 2000s – 1980s, 2010s – 1990s – 
28 Dongshan – 1960s – 1960s, 1980s 1990s – 
29 Hangzhou 2000s 1960s, 2000s 1970s, 2010s 1960s, 2000s – 2010s 
30 Pinghu 1990s, 2000s, 2010s – 1990s, 2010s 1960s, 2000s 2000s 1970s 
31 Cixi 2010s 1960s 2010s 1960s 1990s 1970s 
32 Shengsi 1990s, 2000s 1960s, 1970s 1990s 1960s 2000s – 
33 Dinghai 1970s, 1990s, 2010s 1960s 1970s, 1990s 1960s 1990s 1960s 
34 Jinhua 2010s 1980s, 2000s – 1970s, 2000s 1990s 1970s, 2000s 
35 Shengzhou 2010s – 1970s 1960s, 2000s 1990s 1960s 
36 Yinxian 2010s 1960s 2000s, 2010s 1960s, 2000s 1990s 1970s 
37 Shipu 2010s 1960s, 2000s 1990s, 2000s, 2010s 1960s, 2000s 1990s 1960s 
38 Quzhou 1970s 2000s 1970s 1980s, 2000s 1990s 1960s 
39 Lishui 2010s 1970s – 1970s, 1980s 1990s, 2010s – 
40 Longquan 1970s – 1970s 1980s 1980s, 1990s 1970s 
41 Hongjia – 1960s – 1960s 1990s 1960s 
42 Dachen – 1960s 1970s 2000s – 1960s 
43 Yuhuan – 1960s 1970s, 2000s – – 1960s 
No.StationAnnual scale
Flood season
Non-flood season
PositiveNegativePositiveNegativePositiveNegative
Dangshan 2000s – 2000s 1960s, 1990s 1990s 1980s 
Bozhou – – 2000s – 1990s 1980s 
Suzhou 1960s, 2000s 1960s 1970s 2000s 1970s 1980s 
Fuyang – 1970s – 1970s 1990s 1980s 
Shouxian – 1970s 1980s – 1990s 1980s 
Bengbu 2000s – 2000s – 1990s 1980s 
Chuzhou – – – 1960s 1990s – 
Lu'an – 1960s, 1990s 1980s 1960s, 1990s 1990s – 
Huoshan – 1960s 1980s 1960s 1990s – 
10 Hefei – 1960s – 1960s, 1990s – 1980s 
11 Chaohu – 1960s 1980s 1960s 1990s, 2000s – 
12 Anqing – 1960s 1980s, 2010s 1960s 1990s 1980s 
13 Ningguo 1980s 2000s 1980s 2000s 1990s – 
14 Huangshan 1970s, 2010s 1980s, 2000s 1970s, 1990s, 2010s 1960s, 2000s 1970s, 2010s 1980s 
15 Tunxi 1990s, 2010s 1960s 1980s 1970s, 1990s 2010s – 
16 Xuzhou 2000s 1980s, 2010s 1980s, 2000s 1980s, 2010s 1970s 1980s 
17 Ganyu 1970s 1970s 1970s 1970s – 1980s 
18 Xuyi – – – – 1990s 1970s, 1980s 
19 Huai'an 1960s – 1960s – 1990s 1970s 
20 Sheyang 1972s 1970s 1970s, 1980s 1970s, 1990s 1970s, 1990s 1980s 
21 Nanjing – – – 1960s 1990s – 
22 Gaoyou – – 1970s 1960s 1990s – 
23 Dongtai 1980s, 1990s 1970s – 1970s 1990s – 
24 Nantong 2010s 1970s, 1980s – 1960s 1990s 1980s 
25 Lvsi – – – 1960s, 1990s – – 
26 Changzhou 2010s 1970s, 1980s 2010s 1980s 1990s – 
27 Liyang 1990s, 2000s – 1980s, 2010s – 1990s – 
28 Dongshan – 1960s – 1960s, 1980s 1990s – 
29 Hangzhou 2000s 1960s, 2000s 1970s, 2010s 1960s, 2000s – 2010s 
30 Pinghu 1990s, 2000s, 2010s – 1990s, 2010s 1960s, 2000s 2000s 1970s 
31 Cixi 2010s 1960s 2010s 1960s 1990s 1970s 
32 Shengsi 1990s, 2000s 1960s, 1970s 1990s 1960s 2000s – 
33 Dinghai 1970s, 1990s, 2010s 1960s 1970s, 1990s 1960s 1990s 1960s 
34 Jinhua 2010s 1980s, 2000s – 1970s, 2000s 1990s 1970s, 2000s 
35 Shengzhou 2010s – 1970s 1960s, 2000s 1990s 1960s 
36 Yinxian 2010s 1960s 2000s, 2010s 1960s, 2000s 1990s 1970s 
37 Shipu 2010s 1960s, 2000s 1990s, 2000s, 2010s 1960s, 2000s 1990s 1960s 
38 Quzhou 1970s 2000s 1970s 1980s, 2000s 1990s 1960s 
39 Lishui 2010s 1970s – 1970s, 1980s 1990s, 2010s – 
40 Longquan 1970s – 1970s 1980s 1980s, 1990s 1970s 
41 Hongjia – 1960s – 1960s 1990s 1960s 
42 Dachen – 1960s 1970s 2000s – 1960s 
43 Yuhuan – 1960s 1970s, 2000s – – 1960s 

Spatial patterns of precipitation

To explore the change patterns of precipitation and their spatial distribution characteristics, the PCA method was adopted. The results of the PCA applied to the QPM results which showed that the first two PCAPCs explain more than 60% of the total variance (Table 4). Note that this variance refers to both the trend and the temporal anomalies because it was based on the QPM. Spatially, two dominant geographic sub-regions can be identified from that analysis. The temporal variation of anomalies for each of these sub-regions was reflected by the time series of corresponding PCAPC.

Table 4

Percentage of variance explained by the first six rotated principal components for precipitation anomalies

ComponentAnnual time scale
Flood season
Non-flood season
Variance (%)Cumulative (%)Variance (%)Cumulative (%)Variance (%)Cumulative (%)
42.46 42.46 41.39 41.39 45.01 45.01 
21.50 63.96 19.53 60.92 26.50 71.51 
7.02 70.98 7.91 68.83 9.16 80.67 
6.40 77.38 7.51 76.34 4.79 85.46 
5.81 83.19 6.11 82.45 3.25 88.71 
4.18 87.37 4.31 86.76 2.54 91.25 
ComponentAnnual time scale
Flood season
Non-flood season
Variance (%)Cumulative (%)Variance (%)Cumulative (%)Variance (%)Cumulative (%)
42.46 42.46 41.39 41.39 45.01 45.01 
21.50 63.96 19.53 60.92 26.50 71.51 
7.02 70.98 7.91 68.83 9.16 80.67 
6.40 77.38 7.51 76.34 4.79 85.46 
5.81 83.19 6.11 82.45 3.25 88.71 
4.18 87.37 4.31 86.76 2.54 91.25 

The spatial and temporal patterns of the first two PCAPCs of precipitation anomalies at the annual and seasonal scales are shown in Figure 6. In the annual scale, the first two components explain 42.46 and 21.50% of the total variance, which is mainly representative of precipitation anomaly evolution, respectively. High values (more than 0.5) of the first and second PCAPCs were mainly found in the southern and northern regions, respectively (Figure 6(a) and 6(b)). Temporally, the significant increase of PCAPC-1 means the evolution trend of precipitation anomaly in the southern regions (Figure 7(a)). The two components showed a similar change trend from 1960 to the 1990s. In this stage, high values were found for the beginning of the 1960s, the first half of the 1970s and the 1980s–beginning 1990s. From the 2000s on, the change trend of precipitation anomaly showed an opposite trend in the southern and northern regions of the YRD. High values were found in the 2010s in the northern region and the mid-2000s in the northern region. Generally, the increasing and decreasing trend of annual average precipitation dominated in the southern and northern regions of the YRD (Hu et al. 2016; Wu & Xu 2020). The total wetness events were detected in 1962–1963, 1973–1975, 1990–1992, 1998–2000, 2003–2006, 2010 and 2015–2016. The extreme wetness events mainly happened in the south of the Yangtze River. Meanwhile, large-scale extremely dry events mainly happened in the 1960s, the late 1970s and the 2000s (Wu & Xu 2020).
Figure 6

Spatial patterns of the first two PCAPCs of precipitation anomalies at the annual scale (a, b), and in the flood (c, d) and the non-flood seasons (e, f).

Figure 6

Spatial patterns of the first two PCAPCs of precipitation anomalies at the annual scale (a, b), and in the flood (c, d) and the non-flood seasons (e, f).

Close modal
Figure 7

Temporal patterns of the first two PCAPCs of precipitation anomalies at the annual scale (a), and in the flood (b) and the non-flood seasons (c).

Figure 7

Temporal patterns of the first two PCAPCs of precipitation anomalies at the annual scale (a), and in the flood (b) and the non-flood seasons (c).

Close modal

Figure 6(c) and 6(d) also clearly showed much higher values in the southern and northern YRD, where it is attributed to the first and second components of precipitation anomaly in the flood season, respectively (Figure 6(c) and 6(d)). Time series of variations for the first two PCAPCs demonstrated similar patterns for the flood season, which was due to the high relative contribution rate to the annual precipitation (Table 1). The similar temporal patterns and temporal variation of the PCAPCs further confirmed the contribution of precipitation in the flood season to annual precipitation in the monsoon climate zone. In the non-flood season, the first PCAPC showed high values mainly in the area north of the ‘Shengsi-Pinghu-Hangzhou-Tunxi’ line, whereas the opposite is true for the second PCAPC in general (Figure 6(e) and 6(f)). Time series for the first PCAPC illustrated high precipitation anomalies mainly for the mid-1960s and the 1970s, and for the late 1980s to the mid-2000s in the northern region (Figure 7(c)). Low anomalies were mainly found around the late 1960s, the 1980s and the 2010s.

Teleconnection between precipitation and climate oscillations

Correlations between precipitation and climate oscillations

The research region belongs to the typical East Asia Monsoon climate, the precipitation and the heat condition, which is mainly affected by the strength of northern polar air mass and southern oceanic air mass. The change of global atmospheric circulation inevitably leads to the fluctuation of precipitation in the YRD. Thus, it is necessary to detect the relationship between precipitation and the main climate oscillations. Although there are several differences in the Polar and North Pacific regions, AO resembles NAO (Thompson et al. 2000). The AO is present in both cold and warm seasons, but its amplitude and meridional scale are generally larger during the cold season (Thompson & Wallace 2000). It is generally accepted that, through impacting the Siberian high, westerly wind, blocking frequency, Rossby wave activities, a positive phase of winter AO is associated with a weaker-than-normal East Asian winter monsoon (EAWM), warmer conditions in East Asia, the lower frequency of cold surges/cold waves, increasing (decreasing) winter precipitation in south (north) parts of East Asia, and vice versa (He et al. 2017). In this article, the correlations between monthly precipitation and climate oscillations of AO and NAO showed weak correlations (Table 5). The positive correlations between AO and precipitation dominated in all the months, except December. The biggest proportions of stations with significant correlations were less than 20.93%, which is detected in October (Figure 8(a)). Similarly, NAO also had weak correlations with the precipitation in the YRD (Figure 8(b)).
Table 5

Number of stations with correlations between precipitation and climate oscillations at 95% confidence level

MonthAONAOPDONPSOIONI
Jan. (2.33%) (2.33%) (6.98%) (16.28%) 13 (30.23%) (18.60%) 
Feb. (6.98%) (0) (6.98%) 33 (76.74%) (13.95%) (0) 
Mar. (4.65%) (4.65%) 11 (25.58%) (0) 39 (90.70%) 31 (72.09%) 
Apr. (0) (2.33%) (0) (2.33%) (11.63%) (13.95%) 
May (0) (2.33%) (0) (2.33%) (6.98%) (2.33%) 
Jun. (9.30%) (6.98%) (0) (2.33%) (4.65%) (0) 
Jul. (2.33%) (2.33%) 15 (34.88%) (9.30%) (4.65%) (4.65%) 
Aug. (2.33%) (6.98%) (6.98%) (4.65%) (18.60%) (13.95%) 
Sep. (13.95%) (6.98%) (18.60%) (13.95%) (20.93%) 11 (25.58%) 
Oct. (20.93%) (6.98%) (9.30%) 16 (37.21%) (20.93%) 18 (41.86%) 
Nov. (0) (9.30%) (4.65%) (6.98%) 14 (32.56%) 41 (95.35%) 
Dec. (2.33%) (13.95%) (0) (0) (11.63%) (16.28%) 
MonthAONAOPDONPSOIONI
Jan. (2.33%) (2.33%) (6.98%) (16.28%) 13 (30.23%) (18.60%) 
Feb. (6.98%) (0) (6.98%) 33 (76.74%) (13.95%) (0) 
Mar. (4.65%) (4.65%) 11 (25.58%) (0) 39 (90.70%) 31 (72.09%) 
Apr. (0) (2.33%) (0) (2.33%) (11.63%) (13.95%) 
May (0) (2.33%) (0) (2.33%) (6.98%) (2.33%) 
Jun. (9.30%) (6.98%) (0) (2.33%) (4.65%) (0) 
Jul. (2.33%) (2.33%) 15 (34.88%) (9.30%) (4.65%) (4.65%) 
Aug. (2.33%) (6.98%) (6.98%) (4.65%) (18.60%) (13.95%) 
Sep. (13.95%) (6.98%) (18.60%) (13.95%) (20.93%) 11 (25.58%) 
Oct. (20.93%) (6.98%) (9.30%) 16 (37.21%) (20.93%) 18 (41.86%) 
Nov. (0) (9.30%) (4.65%) (6.98%) 14 (32.56%) 41 (95.35%) 
Dec. (2.33%) (13.95%) (0) (0) (11.63%) (16.28%) 

Note: Values in the brackets mean the proportions to the total stations.

Figure 8

Relationship between monthly precipitation and the large-scale climate oscillations (a–f: AO, NAO, PDO, NP, SOI, ONI). Note: Red columns mean the significant correlations at 95% confidence level. Please refer to the online version of this paper to see this figure in colour: http://dx.doi.org/10.2166/wcc.2022.097.

Figure 8

Relationship between monthly precipitation and the large-scale climate oscillations (a–f: AO, NAO, PDO, NP, SOI, ONI). Note: Red columns mean the significant correlations at 95% confidence level. Please refer to the online version of this paper to see this figure in colour: http://dx.doi.org/10.2166/wcc.2022.097.

Close modal

Compared to AO and NAO, PDO had much stronger influence on the precipitation. The significant correlations were found in more than 25% of the total stations in March and July (Table 5). These stations were mainly located in the southeast region of YRD. The precipitation was also influenced by PDO in part of the mid-north region in September (Figure 8(c)). Meanwhile, NP also had a strong influence on precipitation in certain months. The strongest influence was detected in February, with the significant positive correlations happening in 33 of the total 43 (76.74%) meteorological stations (Table 5). In addition, 16 of the 43 (37.21%) stations also had strong positive correlations in October. These stations were mainly concentrated in the north region (Figure 8(d)). Interdecadal variation in the consecutive cloudy-rainy event frequency varies well in-phase with PDO in southern China through two physical processes. On the one hand, the anomalous PDO is associated with the anomalous North Pacific Oscillation, whose westward extension is accompanied by anomalous East Asian westerly jet and West Pacific subtropical high. On the other hand, the eastward development process associated with the PDO variation can excite a Rossby wave train over the Northern Hemispheric mid-latitudes (Gu et al. 2021).

The correlation showed that SOI and ONI have strong teleconnection with precipitation in March, September, October and November (Table 5). Spatially, these stations at which precipitation was significant correlated with SOI and ONI were both mainly located in the southeast region in January and August, the mid-north region in September and populated in most of the stations in March (Figure 8(e) and 8(f)). In addition, the former correlations were also distributed in the north and west regions in October and the mid-north region in November. The latter relations were also found in southeast, northwest and west regions in October and dominated in most regions in November. Generally, the ENSO changes and flood/drought variation were significantly correlated at about 5-year and 10–12-year periods, which coincided with the oscillations of precipitation in the YRD detected by SSA, in the middle and lower reaches of the Yangtze River Basin (Jiang et al. 2006). ENSO episodes are in good teleconnection with floods/droughts in the Yangtze River catchment. Eastern Asian monsoons are influenced by ENSO through the strength of the subtropical high in the western Pacific region (Jiang et al. 2006; Zeng & Sun 2022).

Lagged influence of climate oscillations on precipitation

Previous researchers found that there tend to be time delays between the effect of large-scale climate oscillations and precipitation series. Thus, the cross-correlation method was adopted to reveal the lag time in the YRD (Figure 9). The results show that the lag time for the maximum impact of the AO and NAO on precipitation was 0 and 3–5 months, respectively. The stations with significant correlation at 95% confidence level were concentrated in the middle and south regions of the YRD, respectively. PDO and NP showed significant cross-correlations with precipitation in many stations when the lag time was 0–3 months. Spatially, PDO and NP have a greater influence on precipitation in the south and north regions of the YRD, respectively. Similar to PDO, SOI and ONI also have a greater influence in the southern region. The lag times were 2–3 and 1–5 months, respectively. In conclusion, the large-scale climate oscillations of PDO and NP showed more connections with the time series of precipitation in the YRD.
Figure 9

Significant lagged bivariate correlation of precipitation with climate oscillations.

Figure 9

Significant lagged bivariate correlation of precipitation with climate oscillations.

Close modal

Because of the natural evolution and human activities, the earth's surface has experienced intensive global warming since the 1970s, which interacts with the global water cycle. Both the increasing and decreasing trends of precipitation were detected by researchers in different regions of the world. Although precipitation can be regarded as a random event, long-term precipitation observations in an area show certain regular characteristics. In most parts of China, precipitation is mainly brought by the East Asia and Indian monsoons. Generally, the annual average total precipitation decreased from the southeast to northwest of China. Temporally, precipitation is concentrated in the flood season. What's more, the massive water resources are needed because of the developed economy and large population. Too much or too little precipitation has a huge impact on crop yields in agriculture, and flood control and water supplement in urban areas. Thus, it is necessary to detect the change modes and influences in depth for better water resource management and engineering decision-making.

This article provided an enhanced insight into the variation patterns of precipitation at 43 meteorological stations in the YRD from 1957 to 2016 and their relationship with the main large-scale climate oscillations. The main conclusions of the study were as follows:

  • (1)

    Through the SSA, the main oscillations of precipitation were all found to be 2, 7–11 and 3–4 years in the annual and seasonal scales. Temporal and spatial patterns of precipitation anomalies were both detected in the annual scale, the flood season and the non-flood season. Spatially, significant anomalies were found at the annual scale in the mid-1960s and the beginning of the 1980s, and the flood season in the mid-1960s and the late 1970s. Anomalies were insignificant in the non-flood season. Spatially, two main patterns of precipitation anomalies were revealed based on PCA in the annual scale, the flood season and the non-flood season, respectively. Precipitation anomalies showed an increasing trend in the south region, but kept stable in the north region in the annual scale and the flood season. In the non-flood season, precipitation anomalies increased in both regions, and the southeast regions increased more intensively.

  • (2)

    Among the selected large-scale climate oscillations, AO and NAO showed weak correlations with the precipitation, and the lag times were 0 and 3–5 months. PDO and NP have significant correlations with precipitation in March, July and September in the southeast regions and in February and October in the north region. The lag times were 0–3 and 0–2 months, respectively. The oscillations of SOI and ONI influenced the precipitation in spring and autumn in several regions. The lag times were 2–3 and 1–5 months, respectively.

The authors wish to thank the National Meteorological Information Center of the China Meteorological Administration and the U.S. Earth System Research Laboratory for offering the meteorological data. The authors also gratefully acknowledge the editors and anonymous reviewers for their constructive comments on the manuscript.

This research work was financially supported by the National Natural Science Foundation of China under Grant 42001025 and 42001014, the Belt and Road Special Foundation of the State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering under Grant 2021491211, the Research Program of Ningbo University under Grant 026-422002842, the Fund of Sustainable Urban Drainage Laboratory of Ningbo University under Grant 09, the Fund of Humanity and Social Science Youth Foundation of Ministry of Education of China under Grant 20YJCZH180, the Fund of Zhejiang Public Welfare Technology Research Project under Grant LGF21D010003 and the Ningbo Fan-3315 Plan under Grant 202002N3200.

Data cannot be made publicly available; readers should contact the corresponding author for details.

The authors declare there is no conflict.

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